Fundamentals of Geotechnical Engineering (MindTap Course List)
5th Edition
ISBN: 9781305635180
Author: Braja M. Das, Nagaratnam Sivakugan
Publisher: Cengage Learning
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Chapter 8, Problem 8.8P
To determine
Plot the variation of total stress, effective stress, and pore water pressure with depth.
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Refer to the soil profile shown. Given H1 = 8.42 m., and H2 = 5.21 m. If the ground water table rises by 3 meters, determine the change in effective stress (numerical value only, in kPa) at the bottom of the clay layer. Properties of dry sand: Gs = 2.54, e = 0.61. Properties of clay: Gs = 2.76, e = 0.86. Round off to two decimal places.
Figure 2 shows the soil profile for the top 9 m at a site, where the water table is at a depth of 5 m below the ground
level. The top 3 m consists of dry silty gravel with a unit weight of 17.9 kN/m³. The next 6 m consists of sand
where the unit weights above and below the water table are 17.0 kN/m³ and 19.5 kN/m³, respectively. Determine
the total stress, pore water pressure and effective stress at point A, B, C and D in the soil profile.
GL
Silty gravel
2 m
Sand
4 m
Figure 2: Soil profile
Question 1:
(10)
For the soil profile shown below where H1 = 5 m and H2 = 5 m:
a) Calculate the total stress (o), pore water pressure (u), and effective stress
(o') at point A.
b) In order to decrease the effective stress at point A by 15 kN/m2, what
would be the depth of the water table from the ground surface.
XXXX
H1
Dry Sand
e = 0.60
G, = 2.68
Clay
H2
e 0.80
G = 2.75
%3D
%23
Chapter 8 Solutions
Fundamentals of Geotechnical Engineering (MindTap Course List)
Ch. 8 - Prob. 8.1PCh. 8 - Prob. 8.2PCh. 8 - Prob. 8.3PCh. 8 - Prob. 8.4PCh. 8 - Prob. 8.5PCh. 8 - Prob. 8.6PCh. 8 - Prob. 8.7PCh. 8 - Prob. 8.8PCh. 8 - Prob. 8.9PCh. 8 - The soil profile at a site consists of 10 m of...
Ch. 8 - Prob. 8.11PCh. 8 - Prob. 8.12PCh. 8 - Prob. 8.13PCh. 8 - Prob. 8.14PCh. 8 - A sand has Gs = 2.66. Calculate the hydraulic...Ch. 8 - Prob. 8.16PCh. 8 - A point load of 1000 kN is applied at the ground...Ch. 8 - Point loads of magnitude 9, 18, and 27 kN act at...Ch. 8 - Refer to Figure 8.13. The magnitude of the line...Ch. 8 - Refer to Figure 8.24. Determine the vertical...Ch. 8 - Consider a circularly loaded flexible area on the...Ch. 8 - A flexible circular footing of radius R carries a...Ch. 8 - The plan of a flexible rectangular loaded area is...Ch. 8 - Refer to Figure 8.26. The circular flexible area...Ch. 8 - Refer to Figure 8.27. The flexible area is...Ch. 8 - Prob. 8.26CTPCh. 8 - Prob. 8.27CTP
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- A soil profile is shown in figure below. Dry sand 6m Ydry = 16.5 kN/m³ B Groundwater table Saturated sand 13m Ysat = 19.25 kN/m² C Dry sand Saturated sand Clay Calculate the following: a. Effective stress at point A in kPa. b. Effective stress at point B in kPa. c. Effective stress at point C in kPa. 5.arrow_forward1.A dry sand is known to have an angle of internal friction of 29. A triaxial test is planned, where the confining pressure will be 41 kPa. What is the maximum axial stress, in kPa, (major principal stress) that can be applied? Calculate the value to 1 decimal place. Do not provide units in your answer. 2.A clay soil is subjected to a triaxial test under unconsolidated-undrained conditions. At failure, the major and minor principal stresses are 8401 psf and 4875 psf, respectively. What is the shear strength of this soil if the confining pressure is doubled? Provide your answer in psf with no decimals.arrow_forwardA 0.7m long soil specimen is subject to a steady-state flow, as shown in Figure Q4. The saturated unit weight of the soil is 20 kN/m?. Determine the following: Water 0.3 m 0.8 m 0.3 m Datum 0.4 m Y Figure Q4 AR ang t d) Total stress (kPa) at point A, B and C. e) Porewater pressure (kPa) at point A, B and C. f) Effective stress (kPa) at point A, B and C. g) Seepage force per unit volume of soil.arrow_forward
- Question 33 Dry Sand H, Groundwater Table Clay H, Refer to the soil profile shown. Given H1 = 9.89 m., and H2 = 5.8 m. If the ground water table rises by 3.78 meters, determine the change in effective stress (numerical value only, in kPa) at the bottom of the clay layer. Properties of dry sand: Gs = 2.53, e = 0.63. Properties of clay: Gs = 2.75, e = 0.81. Round off to two decimal places.arrow_forwardGiven H1 = 8.3 m., and H2 = 4.43 m. If the ground water table rises by 2.29 meters, determine the change in effective stress (numerical value only, in kPa) at the bottom of the clay layer. Properties of dry sand: Gs = 2.59, e = 0.61. Properties of clay: Gs = 2.74, e = 0.86. Round off to two decimal places. Answer: 13.95arrow_forwardRefer to the soil profile shown. Given H1 = 8.93 m., and H2 = 5.32 m. If the ground water table rises by 2.01 meters, determine the change in effective stress (numerical value only, in kPa) at the bottom of the clay layer. Properties of dry sand: Gs = 2.56, e = 0.65. Properties of clay: Gs = 2.72, e = 0.87. Round off to two decimal places. Selected Answer: 11.95 Correct Answer: 11.95 ± 1arrow_forward
- Dry Sand H, Groundwater Table Clay H2 Refer to the soil profile shown. Given H1 = 9.48 m., and H2 = 4.41 m. If the ground water table rises by 2.94 meters, determine the change in effective stress (numerical value only, in kPa) at the bottom of the clay layer. Properties of dry sand: Gs = 2.58, e = 0.67. Properties of clay: Gs = 2.74, e = 0.87. Round off to two decimal places.arrow_forwardRefer to the soil profile shown. Given H1 = 9.76m and H2 = 4.22 m. If the ground water table rises by 2.41 meters, determine the change in effective stress (numerical value only, in kPa) at the bottom of the clay layer. Properties of dry sand: Gs = 2.56, e =0.61. Properties of clay: Gs = 2.79, e = 0.83.arrow_forwardQ4 A 0.7m long soil specimen is subject to a steady-state flow, as shown in Figure Q4. The saturated unit weight of the soil is 20 kN/m³. Determine the following: Water 0.3 m 0.8 m А 0.3 m Datum 0.4 m Y Figure Q4 d) Total stress (kPa) at point A, B and C. e) Porewater pressure (kPa) at point A, B and C.arrow_forward
- Question 20 A soil profile consists of sand (5-m thick) which overlies a layer of clay (9-m thick). Ground water table is located at the interface of the sand and clay. The effective stress at the bottom of the clay layer was determined. If the water table rises to the top of the ground surface, what is the change in the effective stress (in kPa) at the bottom of the clay layer? For sand layer: Void Ratio = 0.82, Specific gravity = 2.68, Degree of Saturation = 0.6 For clay layer: Void Ratio = 0.92, Specific gravity = 2.86 Round off to two decimal places.arrow_forwardA soil element is shown in the figure below. 128 kN/m2 32 kN/m 32 kN/m2 162 kN/m2 55 Determine the following: (in kPa) a. Maximum Principal Stress b. Minimum Principal Stress C. Normal Stress on plane AB d. Shear Stress on plane ABarrow_forwardThere is an upward flow of 0.06 ml/s through a sand sample with a coefficient of permeability 3 × 10^–2 mm/s. The thickness of the sample is 150 mm and the cross-sectional area is 4500 mm2.Determine the effective stress in N/m2 at the bottom the sample, if the saturated unit weight of the sample, is 18.9 kN/m3. Provide Diagram a.709.5 b.177.38 c.88.69 d.354.75arrow_forward
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